Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System

A new fractional-order chaotic system is addressed in this paper. By applying the continuous frequency distribution theory, the indirect Lyapunov stability of this system is investigated based on sliding mode control technique. The adaptive laws are designed to guarantee the stability of the system...

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Main Authors:	Junbiao Guan, Kaihua Wang
Format:	Article
Language:	English
Published:	Hindawi Limited 2015-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2015/941654

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spelling	doaj-a45bcff5967244beb5a7f73e2eea2cc02020-11-24T23:06:43ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/941654941654Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic SystemJunbiao Guan0Kaihua Wang1School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, ChinaSchool of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan 571158, ChinaA new fractional-order chaotic system is addressed in this paper. By applying the continuous frequency distribution theory, the indirect Lyapunov stability of this system is investigated based on sliding mode control technique. The adaptive laws are designed to guarantee the stability of the system with the uncertainty and external disturbance. Moreover, the modified generalized projection synchronization (MGPS) of the fractional-order chaotic systems is discussed based on the stability theory of fractional-order system, which may provide potential applications in secure communication. Finally, some numerical simulations are presented to show the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2015/941654
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Junbiao Guan Kaihua Wang
spellingShingle	Junbiao Guan Kaihua Wang Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System Mathematical Problems in Engineering
author_facet	Junbiao Guan Kaihua Wang
author_sort	Junbiao Guan
title	Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System
title_short	Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System
title_full	Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System
title_fullStr	Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System
title_full_unstemmed	Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System
title_sort	sliding mode control and modified generalized projective synchronization of a new fractional-order chaotic system
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2015-01-01
description	A new fractional-order chaotic system is addressed in this paper. By applying the continuous frequency distribution theory, the indirect Lyapunov stability of this system is investigated based on sliding mode control technique. The adaptive laws are designed to guarantee the stability of the system with the uncertainty and external disturbance. Moreover, the modified generalized projection synchronization (MGPS) of the fractional-order chaotic systems is discussed based on the stability theory of fractional-order system, which may provide potential applications in secure communication. Finally, some numerical simulations are presented to show the effectiveness of the theoretical results.
url	http://dx.doi.org/10.1155/2015/941654
work_keys_str_mv	AT junbiaoguan slidingmodecontrolandmodifiedgeneralizedprojectivesynchronizationofanewfractionalorderchaoticsystem AT kaihuawang slidingmodecontrolandmodifiedgeneralizedprojectivesynchronizationofanewfractionalorderchaoticsystem
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Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System

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